Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240q |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
554400000000 = 211 · 32 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29776,1987276] |
[a1,a2,a3,a4,a6] |
Generators |
[105:86:1] |
Generators of the group modulo torsion |
j |
1425631925916578/270703125 |
j-invariant |
L |
3.1806256363838 |
L(r)(E,1)/r! |
Ω |
0.89523215164798 |
Real period |
R |
3.5528500965127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480w3 73920dc4 27720p4 46200bl4 |
Quadratic twists by: -4 8 -3 5 |